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323878912 = 2177353
BaseRepresentation
bin10011010011100…
…000000000000000
3211120102202100021
4103103200000000
51130403111122
652045503224
711011632250
oct2323400000
9746382307
10323878912
11156904025
1290571b14
135213b936
143102b960
151d6791c7
hex134e0000

323878912 has 72 divisors (see below), whose sum is σ = 742388976. Its totient is φ = 138412032.

The previous prime is 323878909. The next prime is 323878913. The reversal of 323878912 is 219878323.

323878912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323878913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 917328 + ... + 917680.

It is an arithmetic number, because the mean of its divisors is an integer number (10310958).

Almost surely, 2323878912 is an apocalyptic number.

323878912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323878912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371194488).

323878912 is an abundant number, since it is smaller than the sum of its proper divisors (418510064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

323878912 is an frugal number, since it uses more digits than its factorization.

323878912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 362 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 323878912 is about 17996.6361301217. The cubic root of 323878912 is about 686.7429724274.

The spelling of 323878912 in words is "three hundred twenty-three million, eight hundred seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 353 448 512 706 896 1024 1412 1792 2048 2471 2824 3584 4096 4942 5648 7168 8192 9884 11296 14336 16384 19768 22592 28672 32768 39536 45184 57344 65536 79072 90368 114688 131072 158144 180736 229376 316288 361472 458752 632576 722944 917504 1265152 1445888 2530304 2891776 5060608 5783552 10121216 11567104 20242432 23134208 40484864 46268416 80969728 161939456 323878912